The solution of (REF ) and (REF ) will have possibly branch points
at 0 and 1, cf. [1]}. This means that the exists constant matrices, \(\mathsf {C}_j^\mathsf {L}\) , \(\mathsf {C}_j^\mathsf {R}\) , with \(j =0,1\) , such that
\((W^{\mathsf {L}} (z))_- = (W^{\mathsf {L}} (z))_+ \mathsf {C}_0^\mathsf {L}, &&(W^{\mathsf {R}} (z))_- = \mathsf {C}_0^\mathsf {R} (W^{\mathsf {R}} (z))_+, && \text{in } & (0,1) ,\\(W^{\mathsf {L}} (z))_- = (W^{\mathsf {L}} (z))_+ \mathsf {C}_1^\mathsf {L}, &&(W^{\mathsf {R}} (z))_- = \mathsf {C}_1^\mathsf {R} (W^{\mathsf {R}} (z))_+, && \text{in } & (1,+\infty ) .\) 
